1) 2 : 3/5 + 3/5 : 2 + 1 1/2 : 6 + 6 : 1 1/2

Решение:

• 1) 2 : \(\frac{3}{5}\) = 2 \(\times\) \(\frac{5}{3}\) = \(\frac{10}{3}\)
• 2) \(\frac{3}{5}\) : 2 = \(\frac{3}{5}\) \(\times\) \(\frac{1}{2}\) = \(\frac{3}{10}\)
• 3) 1 \(\frac{1}{2}\) = \(\frac{3}{2}\)
• 4) \(\frac{3}{2}\) : 6 = \(\frac{3}{2}\) \(\times\) \(\frac{1}{6}\) = \(\frac{3}{12}\) = \(\frac{1}{4}\)
• 5) 6 : 1 \(\frac{1}{2}\) = 6 : \(\frac{3}{2}\) = 6 \(\times\) \(\frac{2}{3}\) = \(\frac{12}{3}\) = 4
• 6) \(\frac{10}{3}\) + \(\frac{3}{10}\) = \(\frac{100+9}{30}\) = \(\frac{109}{30}\)
• 7) \(\frac{109}{30}\) + \(\frac{1}{4}\) = \(\frac{218+15}{60}\) = \(\frac{233}{60}\)
• 8) \(\frac{233}{60}\) + 4 = \(\frac{233+240}{60}\) = \(\frac{473}{60}\)

Ответ: \(\frac{473}{60}\)